I never heard The Guy From Pittsburgh talk about cuts of pizza or cartons of iced tea and that slob downs both on the regular.
Now that you mention it - neither have I. Very odd......................
From my experience as a Yinzer most pizza joints here have used 'cuts' as a term as far back as I can remember. There are just a few that use 'slices.'
I think they put a drug in Turner's tea because it is quite addictive. One carton is never enough.

However it's definitely not good for you if you want to avoid high fructose corn syrup, preservatives, etc.